On fractal-fractional waterborne disease model: A study on theoretical and numerical aspects of solutions via simulations
Waterborne diseases are illnesses caused by pathogenic bacteria that spread through water
and have a negative influence on human health. Due to the involvement of most countries in …
and have a negative influence on human health. Due to the involvement of most countries in …
Application of hosoya polynomial to solve a class of time-fractional diffusion equations
In this paper, we study time-fractional diffusion equations such as the time-fractional
Kolmogorov equations (TF–KEs) and the time-fractional advection–diffusion equations (TF …
Kolmogorov equations (TF–KEs) and the time-fractional advection–diffusion equations (TF …
Semi-analytical view of time-fractional PDES with proportional delays pertaining to index and Mittag-Leffler memory interacting with hybrid transforms
This paper focuses on the theoretical and computational investigation of the innovative
nonlinear time-fractional PDEs incorporating the Caputo and Atangana–Baleanu fractional …
nonlinear time-fractional PDEs incorporating the Caputo and Atangana–Baleanu fractional …
Study of integer and fractional order COVID-19 mathematical model
R Ouncharoen, K Shah, R Ud Din, T Abdeljawad… - Fractals, 2023 - World Scientific
In this paper, we study a nonlinear mathematical model which addresses the transmission
dynamics of COVID-19. The considered model consists of susceptible (S), exposed (E) …
dynamics of COVID-19. The considered model consists of susceptible (S), exposed (E) …
A novel collective algorithm using cubic uniform spline and finite difference approaches to solving fractional diffusion singular wave model through damping-reaction …
Uses of time-fractional diffusion wave model (TFDWM) in its singular case with damping-
reaction terms are widely seen in classical physics applications, eg for the quantitative …
reaction terms are widely seen in classical physics applications, eg for the quantitative …
[HTML][HTML] Numerical solution of Advection–Diffusion equation using Graph theoretic polynomial collocation method
S Kumbinarasaiah, AN Nirmala - Results in Control and Optimization, 2023 - Elsevier
Water is one of the main constituents on earth for a living. The Advection Diffusion Equation
(ADE) serves as an essential water standard model in environmental engineering since …
(ADE) serves as an essential water standard model in environmental engineering since …
New results on continuity by order of derivative for conformable parabolic equations
In this paper, we study the continuity problem by an order of derivative for conformable
parabolic equations. The problem is examined in both the linear and nonlinear cases. For …
parabolic equations. The problem is examined in both the linear and nonlinear cases. For …
On efficient fractional Caputo-type simultaneous scheme for finding all roots of polynomial equations with biomedical engineering applications
This research paper introduces a novel fractional Caputo-type simultaneous method for
finding all simple and multiple roots of polynomial equations. Without any additional …
finding all simple and multiple roots of polynomial equations. Without any additional …
The impact of nonsingular memory on the mathematical model of Hepatitis C virus
In this research, we examine the nonsingular memory effect when implementing the
Atangana–Baleanu (AB) fractional derivative in the Caputo sense to the Hepatitis C virus …
Atangana–Baleanu (AB) fractional derivative in the Caputo sense to the Hepatitis C virus …
DYNAMICS IN A FRACTIONAL ORDER PREDATOR–PREY MODEL INVOLVING MICHAELIS–MENTEN-TYPE FUNCTIONAL RESPONSE AND BOTH UNEQUAL …
P Li, R Gao, C Xu, Y Lu, Y Shang - Fractals, 2023 - World Scientific
The interrelationship between predator populations and prey populations is a central
problem in biology and mathematics. Setting up appropriate predator–prey models to …
problem in biology and mathematics. Setting up appropriate predator–prey models to …